For the function F(x) = -6+ (a) graph the rational function using transformations. (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. (b) What is the domain of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The domain of the given function is (xx is a real number, x>. (Type an integer or a simplified fraction.) OB. The domain of the given function is {xx is a real number. x. (Type an integer or a simplified fraction. Use a comma to separate answers s needed.) OC. The domain of the given function is {xx is a real number, x< (Type an integer or a simplified fraction.) OD. The domain of the given function is the set of all real numbers. What is the range of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The range of the given function is (yly is a real number. y. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. The range of the given function is (yly is a real number. y>. (Type an integer or a simplified fraction.) OC. The range of the given function is {yly is a real number. y< (Type an integer or a simplified fraction.) OD. The range of the given function is the set of all real numbers. (c) What is/are the vertical asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The left vertical asymptote is. The right vertical asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) OB. There is one vertical asymptote. It is (Type an equation. Use integers or fractions for any numbers in the equation.) OC. There is no vertical asymptote. What is/are the horizontal asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice OA. There is one horizontal asymptote. It is (Type an equation. Use integers or fractions for any numbers in the equation.) OB. The top horizontal asymptote is. The bottom horizontal asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) OC. There is no horizontal asymptote. What is/are the oblique asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The oblique asymptote with the positive slope is (Type equations. Use integers or fractions for any numbers in the equations.) and the oblique asymptote with the negative slope is.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For the function F(x) = −6+. (a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes.
(b) What is the domain of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The domain of the given function is {xx is a real number, x>.
(Type an integer or a simplified fraction.)
OB. The domain of the given function is {xx is a real number, x#}.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
OC. The domain of the given function is {xx is a real number, x<
(Type an integer or a simplified fraction.)
O D. The domain of the given function is the set of all real numbers.
What is the range of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The range of the given function is (yly is a real number, y# }.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
OB. The range of the given function is {yly is a real number, y>
(Type an integer or a simplified fraction.)
OC. The range of the given function is (yly is a real number. y<}
(Type an integer or a simplified fraction.)
O D. The range of the given function is the set of all real numbers.
(c) What is/are the vertical asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
OA. The left vertical asymptote is. The right vertical asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
OB. There is one vertical asymptote. It is
(Type an equation. Use integers or fractions for any numbers in the equation.)
OC. There is no vertical asymptote.
What is/are the horizontal asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is one horizontal asymptote. It is
(Type an equation. Use integers or fractions for any numbers in the equation.)
OB. The top horizontal asymptote is. The bottom horizontal asymptote is.
(Type equations. Use integers or fractions for any numbers in the equations.)
OC. There is no horizontal asymptote.
What is/are the oblique asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
OA. The oblique asymptote with the positive slope is and the oblique asymptote with the negative slope is.
(Type equations. Use integers or fractions for any numbers in the equations.)
Transcribed Image Text:1 For the function F(x) = −6+. (a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. (b) What is the domain of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The domain of the given function is {xx is a real number, x>. (Type an integer or a simplified fraction.) OB. The domain of the given function is {xx is a real number, x#}. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OC. The domain of the given function is {xx is a real number, x< (Type an integer or a simplified fraction.) O D. The domain of the given function is the set of all real numbers. What is the range of the given function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The range of the given function is (yly is a real number, y# }. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. The range of the given function is {yly is a real number, y> (Type an integer or a simplified fraction.) OC. The range of the given function is (yly is a real number. y<} (Type an integer or a simplified fraction.) O D. The range of the given function is the set of all real numbers. (c) What is/are the vertical asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The left vertical asymptote is. The right vertical asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) OB. There is one vertical asymptote. It is (Type an equation. Use integers or fractions for any numbers in the equation.) OC. There is no vertical asymptote. What is/are the horizontal asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one horizontal asymptote. It is (Type an equation. Use integers or fractions for any numbers in the equation.) OB. The top horizontal asymptote is. The bottom horizontal asymptote is. (Type equations. Use integers or fractions for any numbers in the equations.) OC. There is no horizontal asymptote. What is/are the oblique asymptote(s)? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The oblique asymptote with the positive slope is and the oblique asymptote with the negative slope is. (Type equations. Use integers or fractions for any numbers in the equations.)
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